Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup
We study compact and weakly compact multipliers on L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenabl...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120200652X |
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| _version_ | 1832564190627233792 |
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| author | Alireza Medghalchi |
| author_facet | Alireza Medghalchi |
| author_sort | Alireza Medghalchi |
| collection | DOAJ |
| description | We study compact and weakly compact multipliers on
L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on LUC(S)*. |
| format | Article |
| id | doaj-art-4e67768ad675493b9079753991f3f48a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4e67768ad675493b9079753991f3f48a2025-02-03T01:11:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129635535910.1155/S016117120200652XMultipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroupAlireza Medghalchi0Department of Mathematics, Teacher Training University, 566 Taleghani Avenue, Tehran 13614, IranWe study compact and weakly compact multipliers on L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on LUC(S)*.http://dx.doi.org/10.1155/S016117120200652X |
| spellingShingle | Alireza Medghalchi Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup International Journal of Mathematics and Mathematical Sciences |
| title | Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup |
| title_full | Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup |
| title_fullStr | Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup |
| title_full_unstemmed | Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup |
| title_short | Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup |
| title_sort | multipliers on l s l s and luc s for a locally compact topological semigroup |
| url | http://dx.doi.org/10.1155/S016117120200652X |
| work_keys_str_mv | AT alirezamedghalchi multipliersonlslsandlucsforalocallycompacttopologicalsemigroup |